Ben:

There's an old saying that "..the best (major) airline to work for is the one that hires you...."

I had a similar pipe-dream as you; a specific airline. Thought I met their desired quals better than anyone else's. I figured I matched the worst at United.

End result: United called and offered; my dream airline never even gave me an interview.

It's a nice fairy tale to work for your favorite company, but do your research, and get the dream of flying at a job that has reality's chance of success. Better chance of success, and future happiness.